Nano PHYSICS . MECHANICS . MOMENTUM AND COLLISIONS . ONE-DIMENSIONAL COLLISION PROBLEM SOLVING

Relative Velocity Method (Intro)

For one-dimensional elastic collisions, the relative speed of approach equals the relative speed of separation. Learn when the method applies and how to combine it with momentum conservation.

Physics · Mechanics · Momentum and Collisions · One-Dimensional Collision Problem Solving · Relative Velocity Method (Intro)
Access for this nano-lesson
Unsigned visitors can show & copy prompts for Steps 1-3. Signed-in free accounts can also Run with AI for Steps 1-2. Paid accounts unlock everything (Steps 1-6 + Help prompts + AI).
Steps 1-3 Free Steps 4-6 Paid
STEP 1
Orient: relative velocity method (intro)
Free
Establish one-dimensional collision solving as signed-velocity momentum bookkeeping along one axis.
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Goal: define head-on 1D collision setups using one axis, signed velocities, and system momentum.
STEP 2
Conceptual grounding: build the 1D collision model
Free
Build a workflow for systems, signs, collision type, conservation laws, and relative-velocity conditions.
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Goal: choose the correct conservation statements for elastic, inelastic, and perfectly inelastic cases.
STEP 3
Real-world connection: interpret signed velocities and collision type
Free
Apply 1D collision reasoning to carts, balls, elastic collisions, inelastic collisions, and sticking collisions.
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Goal: explain how signs, final velocities, kinetic-energy behavior, and relative-speed conditions fit real collision scenarios.
STEP 4
Check your understanding: diagnostic mini-quiz
Paid
Attempt each question before revealing the collision-solving reasoning.
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Goal: identify and correct sign, collision-type, conservation-law, kinetic-energy, and relative-velocity errors before they become calculation errors.
STEP 5
Practice: solve increasingly rich 1D collision situations
Paid
Apply the model to situations that grow in complexity.
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Goal: write concise, physically justified one-dimensional collision calculations and explanations.
STEP 6
Summary & reflection + explorations
Paid
Consolidate the model and explore changing signs, masses, collision type, and solving method.
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🔒 ▶ Explore interactive simulation
Goal: carry the model forward into elastic special cases, inelastic energy loss, collision classification, and exam-speed solving.